2(x-1)-5(x-3)=5

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Solution for 2(x-1)-5(x-3)=5 equation:


Simplifying
2(x + -1) + -5(x + -3) = 5

Reorder the terms:
2(-1 + x) + -5(x + -3) = 5
(-1 * 2 + x * 2) + -5(x + -3) = 5
(-2 + 2x) + -5(x + -3) = 5

Reorder the terms:
-2 + 2x + -5(-3 + x) = 5
-2 + 2x + (-3 * -5 + x * -5) = 5
-2 + 2x + (15 + -5x) = 5

Reorder the terms:
-2 + 15 + 2x + -5x = 5

Combine like terms: -2 + 15 = 13
13 + 2x + -5x = 5

Combine like terms: 2x + -5x = -3x
13 + -3x = 5

Solving
13 + -3x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -3x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 5 + -13
-3x = 5 + -13

Combine like terms: 5 + -13 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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